Theory

CH1 - Number

(a) Write 4725.6 correct to two significant figures. Answer(a) .................................................. [1] (b) Write 0.01026 correct to t...

2015 Summer

Theory

CH1 - Number

Find the exact value of $27^{\frac{1}{3}}$.

2015 Summer

Theory

CH1 - Number

(a) Simplify.\[ \sqrt{27} + \sqrt{147} \]Answer(a) ............................................................... [2](b) Rationalise the denominator....

2015 Summer

Theory

CH1 - Number

There are 400 students at a school.$\frac{2}{5}$ of the students are boys.70\% of the girls can swim.The ratio of boys that cannot swim to girls that ...

2015 Summer

Theory

CH1 - Number

(a) Find the value of(i) $25^0$,Answer(a)(i) ............................................................. [1](ii) $100^{\frac{3}{2}}$.Answer(a)(ii) ....

2015 Summer

Theory

CH1 - Number

Simplify $(5 + \sqrt{3})^2$.

2015 Summer

Theory

CH1 - Number

Round these numbers to 3 significant figures.(a) 0.00060483Answer(a) ........................................................... [1](b) 6998800Answer(...

2015 Summer

Theory

CH1 - Number

By rounding each number to 1 significant figure, estimate the value of $$\frac{0.583 \times 311.6}{1.82 + 10.43}$$.Show your working.

2015 Summer

Theory

CH1 - Number

A car of length 4.5 metres is travelling at 72km/h. The car approaches a tunnel of length 260 metres. (a) Change 72 km/h into m/s. Answer(a) ..........

2015 Summer

Theory

CH1 - Number

Squash balls have radius 1.5 cm. They are sold in boxes. Each box is a cuboid. Each box has length 15 cm, width 12 cm and height 3 cm.(a) Show that th...

2015 Summer

Theory

CH7 - Mensuration

A cuboid has a square base of side 10 cm and a volume of 1200 cm^3.Work out the height of the cuboid.

2020 Summer

Theory

CH6 - Vectors and transformations

p = \begin{pmatrix} 3 \\ -1 \end{pmatrix} \quad q = \begin{pmatrix} 1 \\ -2 \end{pmatrix}(a) Find \ \mathbf{p+q}. \ \begin{pmatrix} \ \ \ \ \ \ \ \ \e...

2020 Summer

Theory

CH1 - Number

Work out $\frac{3}{4} \div 2\frac{1}{2}$.Give your answer as a fraction in its lowest terms.

2020 Summer

Theory

CH1 - Number

A truck of length 10 m passes a gate of length 2 m. The speed of the truck is 8 m/s.Find the time the truck takes to completely pass the gate.

2020 Summer

Theory

CH7 - Mensuration

Find the volume of a cone with radius 3 cm and perpendicular height 8 cm. Give your answer in terms of $\pi$. .......................................$...

2020 Summer

Theory

CH8 - Trigonometry

Work out the value of $x$.$x = \text{...........................}$

2020 Summer

Theory

CH2 - Algebra

Simplify.(a) \( \frac{15w^{15}}{3w^3} \) .............................................................. [2](b) \( (125y^6)^{\frac{2}{3}} \) .............

2020 Summer

Theory

CH2 - Algebra

Rearrange the formula to write $h$ in terms of $\pi$, $r$ and $A$.$A = 2\pi rh + 3\pi r^2$$h = \text{.................................}$ [2]

2020 Summer

Theory

CH5 - Geometry

A, B \text{ and } C \text{ are points on a circle.}T\!A \text{ is a tangent to the circle at } A.C\!A = C\!B \text{ and angle } B\!A\!T = 70^\circ.\te...

2020 Summer

Theory

CH1 - Number

When Jack sells a computer for $264 he makes a profit of 20%.Work out the price Jack paid for the computer.$ ..............................

2020 Summer